中文摘要：

当f和g在适当的条件下,只需对解做有界性先验估计,利用变形的Leray-Schauder定理证明分数阶微分方程解的存在性.

英文摘要：

Under the suitable conditions on f and g, just to do the bounded priori estimate of solution, by using modified Leray-Schauder theory, the existence of solution of the fractional differential equations is proved.